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    Question

    Raju has ₹11,000 and starts saving ₹5,000 each week

    towards buying a new laptop. At the same time, Ramesh has ₹60,000 and begins spending ₹2,000 per week on supplies for his art class. Will there be a week when they have the same amount of money?
    A Yes, after 7 weeks Correct Answer Incorrect Answer
    B Yes, after 6 weeks Correct Answer Incorrect Answer
    C No, they will never have the same amount Correct Answer Incorrect Answer
    D Yes, after 5 weeks Correct Answer Incorrect Answer

    Solution

    Raju's amount after n weeks = 11000 + 5000n Ramesh's amount after n weeks = 60000 - 2000n We need to find n when both amounts are equal: 11000 + 5000n = 60000 - 2000n ⇒ 11000 + 5000n = 60000 - 2000n ⇒ 5000n + 2000n = 60000 - 11000 ⇒ 7000n = 49000 ⇒ n = 49000 / 7000 ⇒ n = 7

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